Discrete Mathematics
A rational function is a function defined by the ratio of two polynomials, typically expressed as $$f(x) = \frac{P(x)}{Q(x)}$$ where both $$P(x)$$ and $$Q(x)$$ are polynomials and $$Q(x) \neq 0$$. These functions have unique properties such as asymptotes, which influence their graphs, and they can exhibit behaviors like vertical and horizontal asymptotes based on the degrees of the polynomials involved. Understanding rational functions helps in analyzing their behavior, roots, and how they fit within the broader categories of function types.
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